Table of Squares and Square Roots

Use this table to find the squares and square roots of numbers from 1 to 100.

You can also use this table to estimate the square roots of larger numbers.

For instance, if you want to find the square root of 2000, look in the middle column until you find the number that is closest to 2000. The number in the middle column that is closest to 2000 is 2,025.

Now look in at the number to the left of 2,025 to find its square root. The square root of 2,025 is 45.

Therefore, the approximate square root of 2,000 is 45.

To get a more exact number, you will have to use a calculator (44.721 is the more exact square root of 2,000).

number

square

square root

1

1

1.000

2

4

1.414

3

9

1.732

4

16

2.000

5

25

2.236

6

36

2.449

7

49

2.646

8

64

2.828

9

81

3.000

10

100

3.162

11

121

3.317

12

144

3.464

13

169

3.606

14

196

3.742

15

225

3.873

16

256

4.000

17

289

4.123

18

324

4.243

19

361

4.359

20

400

4.472

21

441

4.583

22

484

4.690

23

529

4.796

24

576

4.899

25

625

5.000

26

676

5.099

27

729

5.196

28

784

5.292

29

841

5.385

30

900

5.477

31

961

5.568

32

1,024

5.657

33

1,089

5.745

34

1,156

5.831

35

1,225

5.916

36

1,296

6.000

37

1,369

6.083

38

1,444

6.164

39

1,521

6.245

40

1,600

6.325

41

1,681

6.403

42

1,764

6.481

43

1,849

6.557

44

1,936

6.633

45

2,025

6.708

46

2,116

6.782

47

2,209

6.856

48

2,304

6.928

49

2,401

7.000

50

2,500

7.071

51

2,601

7.141

52

2,704

7.211

53

2,809

7.280

54

2,916

7.348

55

3,025

7.416

56

3,136

7.483

57

3,249

7.550

58

3,364

7.616

59

3,481

7.681

60

3,600

7.746

61

3,721

7.810

62

3,844

7.874

63

3,969

7.937

64

4,096

8.000

65

4,225

8.062

66

4,356

8.124

67

4,489

8.185

68

4,624

8.246

69

4,761

8.307

70

4,900

8.367

71

5,041

8.426

72

5,184

8.485

73

5,329

8.544

74

5,476

8.602

75

5,625

8.660

76

5,776

8.718

77

5,929

8.775

78

6,084

8.832

79

6,241

8.888

80

6,400

8.944

81

6,561

9.000

82

6,724

9.055

83

6,889

9.110

84

7,056

9.165

85

7,225

9.220

86

7,396

9.274

87

7,569

9.327

88

7,744

9.381

89

7,921

9.434

90

8,100

9.487

91

8,281

9.539

92

8,464

9.592

93

8,649

9.644

94

8,836

9.695

95

9,025

9.747

96

9,216

9.798

97

9,409

9.849

98

9,604

9.899

99

9,801

9.950

100

10,000

10.000

NOTE: Square roots in this table are rounded to the nearest thousandth.